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Консультация № 182745
05.04.2011, 15:55
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Средний рост новобранцев доблестной армии составляет 170см. Но только 15% призывников могут претендовать на службу в десантных войсках, где рост должен быть не менее 180 см. На какое количество призывников (в %) могут рассчитывать танковые войска, при условии: рост новобранца не более 167 см.
Считаем, что рост – нормально распределенная случайная величина.
Средний рост новобранцев доблестной армии составляет 170см. Но только 15% призывников могут претендовать на службу в десантных войсках, где рост должен быть не менее 180 см. На какое количество призывников (в %) могут рассчитывать танковые войска, при условии: рост новобранца не более 167 см.
Считаем, что рост – нормально распределенная случайная величина.
Обсуждение
05.04.2011, 16:30
общий
это ответ
Здравствуйте, Марина!
Поскольку нормальное распределение симметрично, то 15% призывников ростом ниже 160 см.
Это значит, что 70% имеют рост в пределах от 160 до 180.
По формуле попадания нормально распределенной величины в интервал, симметрический относительно среднего значения:
Теперь вычисляем вероятность роста не более 167 см:
Ответ: приблизительно 38%
Поскольку нормальное распределение симметрично, то 15% призывников ростом ниже 160 см.
Это значит, что 70% имеют рост в пределах от 160 до 180.
По формуле попадания нормально распределенной величины в интервал, симметрический относительно среднего значения:
Теперь вычисляем вероятность роста не более 167 см:
Ответ: приблизительно 38%
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